Respuesta :

Answer:

16 m

Step-by-step explanation:

Use Pythagorean theorem,

hypotenuse² = base² +altitude²

                      = 5² +6²

                      = 25 + 36

                      = 61

First diagonal = [tex]\sqrt{61}[/tex] = 7.81 m

Second diagonal² = first diagonal² + altitude²

                              = [tex](\sqrt{61})^{2}[/tex]  + 3²

                              = 61 + 9

                              = 70

second diagonal = [tex]\sqrt{70}[/tex] = 8.37 m

First diagonal  + second diagonal = 7.80 + 8.37 = 16.17 = 16